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Finding the Fourth Proportional to 3,108.56, 4,289.56 and 1,782.68

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Solution

The fourth proportional to 3,108.56, 4,289.56 and 1,782.68 is: 2,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.56 : 4,289.56 = 1,782.68 : x
  2. Step 2: Convert to fraction form
    3,108.56/4,289.56 = 1,782.68/x
  3. Step 3: Cross multiply
    3,108.56x = 4,289.56 × 1,782.68
  4. Step 4: Simplify right side
    3,108.56x = 7,646,886.92
  5. Step 5: Solve for x
    x = 7,646,886.92/3,108.56
  6. Step 6: Final answer
    x = 2,459.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.